What is the Least Common Multiple of 4953 and 4959?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 4953 and 4959 is 8187309.
LCM(4953,4959) = 8187309
Least Common Multiple of 4953 and 4959 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4953 and 4959, than apply into the LCM equation.
GCF(4953,4959) = 3
LCM(4953,4959) = ( 4953 × 4959) / 3
LCM(4953,4959) = 24561927 / 3
LCM(4953,4959) = 8187309
Least Common Multiple (LCM) of 4953 and 4959 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4953 and 4959. First we will calculate the prime factors of 4953 and 4959.
Prime Factorization of 4953
Prime factors of 4953 are 3, 13, 127. Prime factorization of 4953 in exponential form is:
4953 = 31 × 131 × 1271
Prime Factorization of 4959
Prime factors of 4959 are 3, 19, 29. Prime factorization of 4959 in exponential form is:
4959 = 32 × 191 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 4953 and 4959.
LCM(4953,4959) = 32 × 131 × 1271 × 191 × 291
LCM(4953,4959) = 8187309
Related Least Common Multiples of 4953
- LCM of 4953 and 4957
- LCM of 4953 and 4958
- LCM of 4953 and 4959
- LCM of 4953 and 4960
- LCM of 4953 and 4961
- LCM of 4953 and 4962
- LCM of 4953 and 4963
- LCM of 4953 and 4964
- LCM of 4953 and 4965
- LCM of 4953 and 4966
- LCM of 4953 and 4967
- LCM of 4953 and 4968
- LCM of 4953 and 4969
- LCM of 4953 and 4970
- LCM of 4953 and 4971
- LCM of 4953 and 4972
- LCM of 4953 and 4973
Related Least Common Multiples of 4959
- LCM of 4959 and 4963
- LCM of 4959 and 4964
- LCM of 4959 and 4965
- LCM of 4959 and 4966
- LCM of 4959 and 4967
- LCM of 4959 and 4968
- LCM of 4959 and 4969
- LCM of 4959 and 4970
- LCM of 4959 and 4971
- LCM of 4959 and 4972
- LCM of 4959 and 4973
- LCM of 4959 and 4974
- LCM of 4959 and 4975
- LCM of 4959 and 4976
- LCM of 4959 and 4977
- LCM of 4959 and 4978
- LCM of 4959 and 4979