What is the Least Common Multiple of 45201 and 45213?

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 45201 and 45213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45201 and 45213, than apply into the LCM equation.

GCF(45201,45213) = 3
LCM(45201,45213) = ( 45201 × 45213) / 3
LCM(45201,45213) = 2043672813 / 3
LCM(45201,45213) = 681224271

Least Common Multiple (LCM) of 45201 and 45213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45201 and 45213. First we will calculate the prime factors of 45201 and 45213.

Prime Factorization of 45201

Prime Factorization of 45213

Now multiplying the highest exponent prime factors to calculate the LCM of 45201 and 45213.

LCM(45201,45213) = 3¹ × 13¹ × 19¹ × 61¹ × 7¹ × 2153¹
LCM(45201,45213) = 681224271