What is the Least Common Multiple of 61356 and 61366?

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 61356 and 61366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61356 and 61366, than apply into the LCM equation.

GCF(61356,61366) = 2
LCM(61356,61366) = ( 61356 × 61366) / 2
LCM(61356,61366) = 3765172296 / 2
LCM(61356,61366) = 1882586148

Least Common Multiple (LCM) of 61356 and 61366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61356 and 61366. First we will calculate the prime factors of 61356 and 61366.

Prime Factorization of 61356

Prime Factorization of 61366

Now multiplying the highest exponent prime factors to calculate the LCM of 61356 and 61366.

LCM(61356,61366) = 2² × 3¹ × 5113¹ × 61¹ × 503¹
LCM(61356,61366) = 1882586148