What is the Least Common Multiple of 72656 and 72662?

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 72656 and 72662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72656 and 72662, than apply into the LCM equation.

GCF(72656,72662) = 2
LCM(72656,72662) = ( 72656 × 72662) / 2
LCM(72656,72662) = 5279330272 / 2
LCM(72656,72662) = 2639665136

Least Common Multiple (LCM) of 72656 and 72662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72656 and 72662. First we will calculate the prime factors of 72656 and 72662.

Prime Factorization of 72656

Prime Factorization of 72662

Now multiplying the highest exponent prime factors to calculate the LCM of 72656 and 72662.

LCM(72656,72662) = 2⁴ × 19¹ × 239¹ × 47¹ × 773¹
LCM(72656,72662) = 2639665136