What is the Least Common Multiple of 73710 and 73721?

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 73710 and 73721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73710 and 73721, than apply into the LCM equation.

GCF(73710,73721) = 1
LCM(73710,73721) = ( 73710 × 73721) / 1
LCM(73710,73721) = 5433974910 / 1
LCM(73710,73721) = 5433974910

Least Common Multiple (LCM) of 73710 and 73721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73710 and 73721. First we will calculate the prime factors of 73710 and 73721.

Prime Factorization of 73710

Prime Factorization of 73721

Now multiplying the highest exponent prime factors to calculate the LCM of 73710 and 73721.

LCM(73710,73721) = 2¹ × 3⁴ × 5¹ × 7¹ × 13¹ × 73721¹
LCM(73710,73721) = 5433974910