What is the Least Common Multiple of 41460 and 41472?

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 41460 and 41472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41460 and 41472, than apply into the LCM equation.

GCF(41460,41472) = 12
LCM(41460,41472) = ( 41460 × 41472) / 12
LCM(41460,41472) = 1719429120 / 12
LCM(41460,41472) = 143285760

Least Common Multiple (LCM) of 41460 and 41472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41460 and 41472. First we will calculate the prime factors of 41460 and 41472.

Prime Factorization of 41460

Prime Factorization of 41472

Now multiplying the highest exponent prime factors to calculate the LCM of 41460 and 41472.

LCM(41460,41472) = 2⁹ × 3⁴ × 5¹ × 691¹
LCM(41460,41472) = 143285760