What is the Least Common Multiple of 49476 and 49488?

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 49476 and 49488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49476 and 49488, than apply into the LCM equation.

GCF(49476,49488) = 12
LCM(49476,49488) = ( 49476 × 49488) / 12
LCM(49476,49488) = 2448468288 / 12
LCM(49476,49488) = 204039024

Least Common Multiple (LCM) of 49476 and 49488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49476 and 49488. First we will calculate the prime factors of 49476 and 49488.

Prime Factorization of 49476

Prime Factorization of 49488

Now multiplying the highest exponent prime factors to calculate the LCM of 49476 and 49488.

LCM(49476,49488) = 2⁴ × 3¹ × 7¹ × 19¹ × 31¹ × 1031¹
LCM(49476,49488) = 204039024