What is the Least Common Multiple of 48696 and 48710?

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 of 48696 and 48710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48696 and 48710, than apply into the LCM equation.

GCF(48696,48710) = 2
LCM(48696,48710) = ( 48696 × 48710) / 2
LCM(48696,48710) = 2371982160 / 2
LCM(48696,48710) = 1185991080

Least Common Multiple (LCM) of 48696 and 48710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48696 and 48710. First we will calculate the prime factors of 48696 and 48710.

Prime Factorization of 48696

Prime Factorization of 48710

Now multiplying the highest exponent prime factors to calculate the LCM of 48696 and 48710.

LCM(48696,48710) = 2³ × 3¹ × 2029¹ × 5¹ × 4871¹
LCM(48696,48710) = 1185991080