What is the Least Common Multiple of 93045 and 93061?

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 93045 and 93061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93045 and 93061, than apply into the LCM equation.

GCF(93045,93061) = 1
LCM(93045,93061) = ( 93045 × 93061) / 1
LCM(93045,93061) = 8658860745 / 1
LCM(93045,93061) = 8658860745

Least Common Multiple (LCM) of 93045 and 93061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93045 and 93061. First we will calculate the prime factors of 93045 and 93061.

Prime Factorization of 93045

Prime Factorization of 93061

Now multiplying the highest exponent prime factors to calculate the LCM of 93045 and 93061.

LCM(93045,93061) = 3¹ × 5¹ × 6203¹ × 29¹ × 3209¹
LCM(93045,93061) = 8658860745