What is the Least Common Multiple of 73201 and 73220?

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 73201 and 73220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73201 and 73220, than apply into the LCM equation.

GCF(73201,73220) = 1
LCM(73201,73220) = ( 73201 × 73220) / 1
LCM(73201,73220) = 5359777220 / 1
LCM(73201,73220) = 5359777220

Least Common Multiple (LCM) of 73201 and 73220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73201 and 73220. First we will calculate the prime factors of 73201 and 73220.

Prime Factorization of 73201

Prime Factorization of 73220

Now multiplying the highest exponent prime factors to calculate the LCM of 73201 and 73220.

LCM(73201,73220) = 71¹ × 1031¹ × 2² × 5¹ × 7¹ × 523¹
LCM(73201,73220) = 5359777220