What is the Least Common Multiple of 49488 and 49497?

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 49488 and 49497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49488 and 49497, than apply into the LCM equation.

GCF(49488,49497) = 3
LCM(49488,49497) = ( 49488 × 49497) / 3
LCM(49488,49497) = 2449507536 / 3
LCM(49488,49497) = 816502512

Least Common Multiple (LCM) of 49488 and 49497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49488 and 49497. First we will calculate the prime factors of 49488 and 49497.

Prime Factorization of 49488

Prime Factorization of 49497

Now multiplying the highest exponent prime factors to calculate the LCM of 49488 and 49497.

LCM(49488,49497) = 2⁴ × 3¹ × 1031¹ × 7¹ × 2357¹
LCM(49488,49497) = 816502512