What is the Least Common Multiple of 61464 and 61476?

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 61464 and 61476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61464 and 61476, than apply into the LCM equation.

GCF(61464,61476) = 12
LCM(61464,61476) = ( 61464 × 61476) / 12
LCM(61464,61476) = 3778560864 / 12
LCM(61464,61476) = 314880072

Least Common Multiple (LCM) of 61464 and 61476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61464 and 61476. First we will calculate the prime factors of 61464 and 61476.

Prime Factorization of 61464

Prime Factorization of 61476

Now multiplying the highest exponent prime factors to calculate the LCM of 61464 and 61476.

LCM(61464,61476) = 2³ × 3¹ × 13¹ × 197¹ × 47¹ × 109¹
LCM(61464,61476) = 314880072