What is the Least Common Multiple of 49664 and 49672?

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 49664 and 49672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49664 and 49672, than apply into the LCM equation.

GCF(49664,49672) = 8
LCM(49664,49672) = ( 49664 × 49672) / 8
LCM(49664,49672) = 2466910208 / 8
LCM(49664,49672) = 308363776

Least Common Multiple (LCM) of 49664 and 49672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49664 and 49672. First we will calculate the prime factors of 49664 and 49672.

Prime Factorization of 49664

Prime Factorization of 49672

Now multiplying the highest exponent prime factors to calculate the LCM of 49664 and 49672.

LCM(49664,49672) = 2⁹ × 97¹ × 7¹ × 887¹
LCM(49664,49672) = 308363776