What is the Least Common Multiple of 56658 and 56670?

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 56658 and 56670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56658 and 56670, than apply into the LCM equation.

GCF(56658,56670) = 6
LCM(56658,56670) = ( 56658 × 56670) / 6
LCM(56658,56670) = 3210808860 / 6
LCM(56658,56670) = 535134810

Least Common Multiple (LCM) of 56658 and 56670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56658 and 56670. First we will calculate the prime factors of 56658 and 56670.

Prime Factorization of 56658

Prime Factorization of 56670

Now multiplying the highest exponent prime factors to calculate the LCM of 56658 and 56670.

LCM(56658,56670) = 2¹ × 3¹ × 7¹ × 19¹ × 71¹ × 5¹ × 1889¹
LCM(56658,56670) = 535134810