What is the Least Common Multiple of 49600 and 49620?

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 49600 and 49620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49600 and 49620, than apply into the LCM equation.

GCF(49600,49620) = 20
LCM(49600,49620) = ( 49600 × 49620) / 20
LCM(49600,49620) = 2461152000 / 20
LCM(49600,49620) = 123057600

Least Common Multiple (LCM) of 49600 and 49620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49600 and 49620. First we will calculate the prime factors of 49600 and 49620.

Prime Factorization of 49600

Prime Factorization of 49620

Now multiplying the highest exponent prime factors to calculate the LCM of 49600 and 49620.

LCM(49600,49620) = 2⁶ × 5² × 31¹ × 3¹ × 827¹
LCM(49600,49620) = 123057600