What is the Least Common Multiple of 4944 and 4960?
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 4944 and 4960 is 1532640.
LCM(4944,4960) = 1532640
Least Common Multiple of 4944 and 4960 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4944 and 4960, than apply into the LCM equation.
GCF(4944,4960) = 16
LCM(4944,4960) = ( 4944 × 4960) / 16
LCM(4944,4960) = 24522240 / 16
LCM(4944,4960) = 1532640
Least Common Multiple (LCM) of 4944 and 4960 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4944 and 4960. First we will calculate the prime factors of 4944 and 4960.
Prime Factorization of 4944
Prime factors of 4944 are 2, 3, 103. Prime factorization of 4944 in exponential form is:
4944 = 24 × 31 × 1031
Prime Factorization of 4960
Prime factors of 4960 are 2, 5, 31. Prime factorization of 4960 in exponential form is:
4960 = 25 × 51 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 4944 and 4960.
LCM(4944,4960) = 25 × 31 × 1031 × 51 × 311
LCM(4944,4960) = 1532640
Related Least Common Multiples of 4944
- LCM of 4944 and 4948
- LCM of 4944 and 4949
- LCM of 4944 and 4950
- LCM of 4944 and 4951
- LCM of 4944 and 4952
- LCM of 4944 and 4953
- LCM of 4944 and 4954
- LCM of 4944 and 4955
- LCM of 4944 and 4956
- LCM of 4944 and 4957
- LCM of 4944 and 4958
- LCM of 4944 and 4959
- LCM of 4944 and 4960
- LCM of 4944 and 4961
- LCM of 4944 and 4962
- LCM of 4944 and 4963
- LCM of 4944 and 4964
Related Least Common Multiples of 4960
- LCM of 4960 and 4964
- LCM of 4960 and 4965
- LCM of 4960 and 4966
- LCM of 4960 and 4967
- LCM of 4960 and 4968
- LCM of 4960 and 4969
- LCM of 4960 and 4970
- LCM of 4960 and 4971
- LCM of 4960 and 4972
- LCM of 4960 and 4973
- LCM of 4960 and 4974
- LCM of 4960 and 4975
- LCM of 4960 and 4976
- LCM of 4960 and 4977
- LCM of 4960 and 4978
- LCM of 4960 and 4979
- LCM of 4960 and 4980