What is the Least Common Multiple of 52656 and 52662?

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 52656 and 52662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52656 and 52662, than apply into the LCM equation.

GCF(52656,52662) = 6
LCM(52656,52662) = ( 52656 × 52662) / 6
LCM(52656,52662) = 2772970272 / 6
LCM(52656,52662) = 462161712

Least Common Multiple (LCM) of 52656 and 52662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52656 and 52662. First we will calculate the prime factors of 52656 and 52662.

Prime Factorization of 52656

Prime Factorization of 52662

Now multiplying the highest exponent prime factors to calculate the LCM of 52656 and 52662.

LCM(52656,52662) = 2⁴ × 3¹ × 1097¹ × 67¹ × 131¹
LCM(52656,52662) = 462161712