What is the Least Common Multiple of 39474 and 39480?

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 39474 and 39480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39474 and 39480, than apply into the LCM equation.

GCF(39474,39480) = 6
LCM(39474,39480) = ( 39474 × 39480) / 6
LCM(39474,39480) = 1558433520 / 6
LCM(39474,39480) = 259738920

Least Common Multiple (LCM) of 39474 and 39480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39474 and 39480. First we will calculate the prime factors of 39474 and 39480.

Prime Factorization of 39474

Prime Factorization of 39480

Now multiplying the highest exponent prime factors to calculate the LCM of 39474 and 39480.

LCM(39474,39480) = 2³ × 3³ × 17¹ × 43¹ × 5¹ × 7¹ × 47¹
LCM(39474,39480) = 259738920