What is the Least Common Multiple of 74851 and 74857?

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 74851 and 74857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74851 and 74857, than apply into the LCM equation.

GCF(74851,74857) = 1
LCM(74851,74857) = ( 74851 × 74857) / 1
LCM(74851,74857) = 5603121307 / 1
LCM(74851,74857) = 5603121307

Least Common Multiple (LCM) of 74851 and 74857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74851 and 74857. First we will calculate the prime factors of 74851 and 74857.

Prime Factorization of 74851

Prime Factorization of 74857

Now multiplying the highest exponent prime factors to calculate the LCM of 74851 and 74857.

LCM(74851,74857) = 7¹ × 17² × 37¹ × 74857¹
LCM(74851,74857) = 5603121307