What is the Least Common Multiple of 73260 and 73278?

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 73260 and 73278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73260 and 73278, than apply into the LCM equation.

GCF(73260,73278) = 18
LCM(73260,73278) = ( 73260 × 73278) / 18
LCM(73260,73278) = 5368346280 / 18
LCM(73260,73278) = 298241460

Least Common Multiple (LCM) of 73260 and 73278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73260 and 73278. First we will calculate the prime factors of 73260 and 73278.

Prime Factorization of 73260

Prime Factorization of 73278

Now multiplying the highest exponent prime factors to calculate the LCM of 73260 and 73278.

LCM(73260,73278) = 2² × 3³ × 5¹ × 11¹ × 37¹ × 23¹ × 59¹
LCM(73260,73278) = 298241460