What is the Least Common Multiple of 61632 and 61648?

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 61632 and 61648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61632 and 61648, than apply into the LCM equation.

GCF(61632,61648) = 16
LCM(61632,61648) = ( 61632 × 61648) / 16
LCM(61632,61648) = 3799489536 / 16
LCM(61632,61648) = 237468096

Least Common Multiple (LCM) of 61632 and 61648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61632 and 61648. First we will calculate the prime factors of 61632 and 61648.

Prime Factorization of 61632

Prime Factorization of 61648

Now multiplying the highest exponent prime factors to calculate the LCM of 61632 and 61648.

LCM(61632,61648) = 2⁶ × 3² × 107¹ × 3853¹
LCM(61632,61648) = 237468096