What is the Least Common Multiple of 49614 and 49632?

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 49614 and 49632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49614 and 49632, than apply into the LCM equation.

GCF(49614,49632) = 6
LCM(49614,49632) = ( 49614 × 49632) / 6
LCM(49614,49632) = 2462442048 / 6
LCM(49614,49632) = 410407008

Least Common Multiple (LCM) of 49614 and 49632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49614 and 49632. First we will calculate the prime factors of 49614 and 49632.

Prime Factorization of 49614

Prime Factorization of 49632

Now multiplying the highest exponent prime factors to calculate the LCM of 49614 and 49632.

LCM(49614,49632) = 2⁵ × 3¹ × 8269¹ × 11¹ × 47¹
LCM(49614,49632) = 410407008