What is the Least Common Multiple of 61476 and 61488?

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 61476 and 61488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61476 and 61488, than apply into the LCM equation.

GCF(61476,61488) = 12
LCM(61476,61488) = ( 61476 × 61488) / 12
LCM(61476,61488) = 3780036288 / 12
LCM(61476,61488) = 315003024

Least Common Multiple (LCM) of 61476 and 61488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61476 and 61488. First we will calculate the prime factors of 61476 and 61488.

Prime Factorization of 61476

Prime Factorization of 61488

Now multiplying the highest exponent prime factors to calculate the LCM of 61476 and 61488.

LCM(61476,61488) = 2⁴ × 3² × 47¹ × 109¹ × 7¹ × 61¹
LCM(61476,61488) = 315003024