What is the Least Common Multiple of 61216 and 61236?

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 61216 and 61236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61216 and 61236, than apply into the LCM equation.

GCF(61216,61236) = 4
LCM(61216,61236) = ( 61216 × 61236) / 4
LCM(61216,61236) = 3748622976 / 4
LCM(61216,61236) = 937155744

Least Common Multiple (LCM) of 61216 and 61236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61216 and 61236. First we will calculate the prime factors of 61216 and 61236.

Prime Factorization of 61216

Prime Factorization of 61236

Now multiplying the highest exponent prime factors to calculate the LCM of 61216 and 61236.

LCM(61216,61236) = 2⁵ × 1913¹ × 3⁷ × 7¹
LCM(61216,61236) = 937155744