What is the Least Common Multiple of 49464 and 49476?

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 49464 and 49476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49464 and 49476, than apply into the LCM equation.

GCF(49464,49476) = 12
LCM(49464,49476) = ( 49464 × 49476) / 12
LCM(49464,49476) = 2447280864 / 12
LCM(49464,49476) = 203940072

Least Common Multiple (LCM) of 49464 and 49476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49464 and 49476. First we will calculate the prime factors of 49464 and 49476.

Prime Factorization of 49464

Prime Factorization of 49476

Now multiplying the highest exponent prime factors to calculate the LCM of 49464 and 49476.

LCM(49464,49476) = 2³ × 3³ × 229¹ × 7¹ × 19¹ × 31¹
LCM(49464,49476) = 203940072