What is the Least Common Multiple of 73650 and 73654?

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 73650 and 73654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73650 and 73654, than apply into the LCM equation.

GCF(73650,73654) = 2
LCM(73650,73654) = ( 73650 × 73654) / 2
LCM(73650,73654) = 5424617100 / 2
LCM(73650,73654) = 2712308550

Least Common Multiple (LCM) of 73650 and 73654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73650 and 73654. First we will calculate the prime factors of 73650 and 73654.

Prime Factorization of 73650

Prime Factorization of 73654

Now multiplying the highest exponent prime factors to calculate the LCM of 73650 and 73654.

LCM(73650,73654) = 2¹ × 3¹ × 5² × 491¹ × 7¹ × 5261¹
LCM(73650,73654) = 2712308550