What is the Least Common Multiple of 67260 and 67272?

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 67260 and 67272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67260 and 67272, than apply into the LCM equation.

GCF(67260,67272) = 12
LCM(67260,67272) = ( 67260 × 67272) / 12
LCM(67260,67272) = 4524714720 / 12
LCM(67260,67272) = 377059560

Least Common Multiple (LCM) of 67260 and 67272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67260 and 67272. First we will calculate the prime factors of 67260 and 67272.

Prime Factorization of 67260

Prime Factorization of 67272

Now multiplying the highest exponent prime factors to calculate the LCM of 67260 and 67272.

LCM(67260,67272) = 2³ × 3¹ × 5¹ × 19¹ × 59¹ × 2803¹
LCM(67260,67272) = 377059560