What is the Least Common Multiple of 49410 and 49425?

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 49410 and 49425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49410 and 49425, than apply into the LCM equation.

GCF(49410,49425) = 15
LCM(49410,49425) = ( 49410 × 49425) / 15
LCM(49410,49425) = 2442089250 / 15
LCM(49410,49425) = 162805950

Least Common Multiple (LCM) of 49410 and 49425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49410 and 49425. First we will calculate the prime factors of 49410 and 49425.

Prime Factorization of 49410

Prime Factorization of 49425

Now multiplying the highest exponent prime factors to calculate the LCM of 49410 and 49425.

LCM(49410,49425) = 2¹ × 3⁴ × 5² × 61¹ × 659¹
LCM(49410,49425) = 162805950