What is the Least Common Multiple of 49520 and 49533?

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 49520 and 49533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49520 and 49533, than apply into the LCM equation.

GCF(49520,49533) = 1
LCM(49520,49533) = ( 49520 × 49533) / 1
LCM(49520,49533) = 2452874160 / 1
LCM(49520,49533) = 2452874160

Least Common Multiple (LCM) of 49520 and 49533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49520 and 49533. First we will calculate the prime factors of 49520 and 49533.

Prime Factorization of 49520

Prime Factorization of 49533

Now multiplying the highest exponent prime factors to calculate the LCM of 49520 and 49533.

LCM(49520,49533) = 2⁴ × 5¹ × 619¹ × 3¹ × 11¹ × 19¹ × 79¹
LCM(49520,49533) = 2452874160