What is the Least Common Multiple of 49542 and 49560?

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 49542 and 49560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49542 and 49560, than apply into the LCM equation.

GCF(49542,49560) = 6
LCM(49542,49560) = ( 49542 × 49560) / 6
LCM(49542,49560) = 2455301520 / 6
LCM(49542,49560) = 409216920

Least Common Multiple (LCM) of 49542 and 49560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49542 and 49560. First we will calculate the prime factors of 49542 and 49560.

Prime Factorization of 49542

Prime Factorization of 49560

Now multiplying the highest exponent prime factors to calculate the LCM of 49542 and 49560.

LCM(49542,49560) = 2³ × 3¹ × 23¹ × 359¹ × 5¹ × 7¹ × 59¹
LCM(49542,49560) = 409216920