What is the Least Common Multiple of 73350 and 73356?

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 73350 and 73356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73350 and 73356, than apply into the LCM equation.

GCF(73350,73356) = 6
LCM(73350,73356) = ( 73350 × 73356) / 6
LCM(73350,73356) = 5380662600 / 6
LCM(73350,73356) = 896777100

Least Common Multiple (LCM) of 73350 and 73356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73350 and 73356. First we will calculate the prime factors of 73350 and 73356.

Prime Factorization of 73350

Prime Factorization of 73356

Now multiplying the highest exponent prime factors to calculate the LCM of 73350 and 73356.

LCM(73350,73356) = 2² × 3² × 5² × 163¹ × 6113¹
LCM(73350,73356) = 896777100