What is the Least Common Multiple of 61757 and 61763?

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 61757 and 61763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61757 and 61763, than apply into the LCM equation.

GCF(61757,61763) = 1
LCM(61757,61763) = ( 61757 × 61763) / 1
LCM(61757,61763) = 3814297591 / 1
LCM(61757,61763) = 3814297591

Least Common Multiple (LCM) of 61757 and 61763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61757 and 61763. First we will calculate the prime factors of 61757 and 61763.

Prime Factorization of 61757

Prime Factorization of 61763

Now multiplying the highest exponent prime factors to calculate the LCM of 61757 and 61763.

LCM(61757,61763) = 61757¹ × 13¹ × 4751¹
LCM(61757,61763) = 3814297591