What is the Least Common Multiple of 51730 and 51737?

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 51730 and 51737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51730 and 51737, than apply into the LCM equation.

GCF(51730,51737) = 7
LCM(51730,51737) = ( 51730 × 51737) / 7
LCM(51730,51737) = 2676355010 / 7
LCM(51730,51737) = 382336430

Least Common Multiple (LCM) of 51730 and 51737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51730 and 51737. First we will calculate the prime factors of 51730 and 51737.

Prime Factorization of 51730

Prime Factorization of 51737

Now multiplying the highest exponent prime factors to calculate the LCM of 51730 and 51737.

LCM(51730,51737) = 2¹ × 5¹ × 7¹ × 739¹ × 19¹ × 389¹
LCM(51730,51737) = 382336430