What is the Least Common Multiple of 59660 and 59678?

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 59660 and 59678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59660 and 59678, than apply into the LCM equation.

GCF(59660,59678) = 2
LCM(59660,59678) = ( 59660 × 59678) / 2
LCM(59660,59678) = 3560389480 / 2
LCM(59660,59678) = 1780194740

Least Common Multiple (LCM) of 59660 and 59678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59660 and 59678. First we will calculate the prime factors of 59660 and 59678.

Prime Factorization of 59660

Prime Factorization of 59678

Now multiplying the highest exponent prime factors to calculate the LCM of 59660 and 59678.

LCM(59660,59678) = 2² × 5¹ × 19¹ × 157¹ × 53¹ × 563¹
LCM(59660,59678) = 1780194740