What is the Least Common Multiple of 49536 and 49546?

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 49536 and 49546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49536 and 49546, than apply into the LCM equation.

GCF(49536,49546) = 2
LCM(49536,49546) = ( 49536 × 49546) / 2
LCM(49536,49546) = 2454310656 / 2
LCM(49536,49546) = 1227155328

Least Common Multiple (LCM) of 49536 and 49546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49536 and 49546. First we will calculate the prime factors of 49536 and 49546.

Prime Factorization of 49536

Prime Factorization of 49546

Now multiplying the highest exponent prime factors to calculate the LCM of 49536 and 49546.

LCM(49536,49546) = 2⁷ × 3² × 43¹ × 7¹ × 3539¹
LCM(49536,49546) = 1227155328