What is the Least Common Multiple of 4954 and 4958?
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 4954 and 4958 is 12280966.
LCM(4954,4958) = 12280966
Least Common Multiple of 4954 and 4958 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4954 and 4958, than apply into the LCM equation.
GCF(4954,4958) = 2
LCM(4954,4958) = ( 4954 × 4958) / 2
LCM(4954,4958) = 24561932 / 2
LCM(4954,4958) = 12280966
Least Common Multiple (LCM) of 4954 and 4958 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4954 and 4958. First we will calculate the prime factors of 4954 and 4958.
Prime Factorization of 4954
Prime factors of 4954 are 2, 2477. Prime factorization of 4954 in exponential form is:
4954 = 21 × 24771
Prime Factorization of 4958
Prime factors of 4958 are 2, 37, 67. Prime factorization of 4958 in exponential form is:
4958 = 21 × 371 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 4954 and 4958.
LCM(4954,4958) = 21 × 24771 × 371 × 671
LCM(4954,4958) = 12280966
Related Least Common Multiples of 4954
- LCM of 4954 and 4958
- LCM of 4954 and 4959
- LCM of 4954 and 4960
- LCM of 4954 and 4961
- LCM of 4954 and 4962
- LCM of 4954 and 4963
- LCM of 4954 and 4964
- LCM of 4954 and 4965
- LCM of 4954 and 4966
- LCM of 4954 and 4967
- LCM of 4954 and 4968
- LCM of 4954 and 4969
- LCM of 4954 and 4970
- LCM of 4954 and 4971
- LCM of 4954 and 4972
- LCM of 4954 and 4973
- LCM of 4954 and 4974
Related Least Common Multiples of 4958
- LCM of 4958 and 4962
- LCM of 4958 and 4963
- LCM of 4958 and 4964
- LCM of 4958 and 4965
- LCM of 4958 and 4966
- LCM of 4958 and 4967
- LCM of 4958 and 4968
- LCM of 4958 and 4969
- LCM of 4958 and 4970
- LCM of 4958 and 4971
- LCM of 4958 and 4972
- LCM of 4958 and 4973
- LCM of 4958 and 4974
- LCM of 4958 and 4975
- LCM of 4958 and 4976
- LCM of 4958 and 4977
- LCM of 4958 and 4978