What is the Least Common Multiple of 61251 and 61262?

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 61251 and 61262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61251 and 61262, than apply into the LCM equation.

GCF(61251,61262) = 1
LCM(61251,61262) = ( 61251 × 61262) / 1
LCM(61251,61262) = 3752358762 / 1
LCM(61251,61262) = 3752358762

Least Common Multiple (LCM) of 61251 and 61262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61251 and 61262. First we will calculate the prime factors of 61251 and 61262.

Prime Factorization of 61251

Prime Factorization of 61262

Now multiplying the highest exponent prime factors to calculate the LCM of 61251 and 61262.

LCM(61251,61262) = 3¹ × 17¹ × 1201¹ × 2¹ × 30631¹
LCM(61251,61262) = 3752358762