What is the Least Common Multiple of 61404 and 61419?

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 61404 and 61419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61404 and 61419, than apply into the LCM equation.

GCF(61404,61419) = 3
LCM(61404,61419) = ( 61404 × 61419) / 3
LCM(61404,61419) = 3771372276 / 3
LCM(61404,61419) = 1257124092

Least Common Multiple (LCM) of 61404 and 61419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61404 and 61419. First we will calculate the prime factors of 61404 and 61419.

Prime Factorization of 61404

Prime Factorization of 61419

Now multiplying the highest exponent prime factors to calculate the LCM of 61404 and 61419.

LCM(61404,61419) = 2² × 3¹ × 7¹ × 17¹ × 43¹ × 59¹ × 347¹
LCM(61404,61419) = 1257124092