What is the Least Common Multiple of 38460 and 38475?

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 38460 and 38475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38460 and 38475, than apply into the LCM equation.

GCF(38460,38475) = 15
LCM(38460,38475) = ( 38460 × 38475) / 15
LCM(38460,38475) = 1479748500 / 15
LCM(38460,38475) = 98649900

Least Common Multiple (LCM) of 38460 and 38475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38460 and 38475. First we will calculate the prime factors of 38460 and 38475.

Prime Factorization of 38460

Prime Factorization of 38475

Now multiplying the highest exponent prime factors to calculate the LCM of 38460 and 38475.

LCM(38460,38475) = 2² × 3⁴ × 5² × 641¹ × 19¹
LCM(38460,38475) = 98649900