What is the Least Common Multiple of 61628 and 61640?

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 61628 and 61640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61628 and 61640, than apply into the LCM equation.

GCF(61628,61640) = 4
LCM(61628,61640) = ( 61628 × 61640) / 4
LCM(61628,61640) = 3798749920 / 4
LCM(61628,61640) = 949687480

Least Common Multiple (LCM) of 61628 and 61640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61628 and 61640. First we will calculate the prime factors of 61628 and 61640.

Prime Factorization of 61628

Prime Factorization of 61640

Now multiplying the highest exponent prime factors to calculate the LCM of 61628 and 61640.

LCM(61628,61640) = 2³ × 7¹ × 31¹ × 71¹ × 5¹ × 23¹ × 67¹
LCM(61628,61640) = 949687480