What is the Least Common Multiple of 48646 and 48656?

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 48646 and 48656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48646 and 48656, than apply into the LCM equation.

GCF(48646,48656) = 2
LCM(48646,48656) = ( 48646 × 48656) / 2
LCM(48646,48656) = 2366919776 / 2
LCM(48646,48656) = 1183459888

Least Common Multiple (LCM) of 48646 and 48656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48646 and 48656. First we will calculate the prime factors of 48646 and 48656.

Prime Factorization of 48646

Prime Factorization of 48656

Now multiplying the highest exponent prime factors to calculate the LCM of 48646 and 48656.

LCM(48646,48656) = 2⁴ × 13¹ × 1871¹ × 3041¹
LCM(48646,48656) = 1183459888