What is the Least Common Multiple of 58646 and 58656?

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 58646 and 58656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58646 and 58656, than apply into the LCM equation.

GCF(58646,58656) = 2
LCM(58646,58656) = ( 58646 × 58656) / 2
LCM(58646,58656) = 3439939776 / 2
LCM(58646,58656) = 1719969888

Least Common Multiple (LCM) of 58646 and 58656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58646 and 58656. First we will calculate the prime factors of 58646 and 58656.

Prime Factorization of 58646

Prime Factorization of 58656

Now multiplying the highest exponent prime factors to calculate the LCM of 58646 and 58656.

LCM(58646,58656) = 2⁵ × 7¹ × 59¹ × 71¹ × 3¹ × 13¹ × 47¹
LCM(58646,58656) = 1719969888