What is the Least Common Multiple of 61746 and 61765?

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 61746 and 61765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61746 and 61765, than apply into the LCM equation.

GCF(61746,61765) = 1
LCM(61746,61765) = ( 61746 × 61765) / 1
LCM(61746,61765) = 3813741690 / 1
LCM(61746,61765) = 3813741690

Least Common Multiple (LCM) of 61746 and 61765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61746 and 61765. First we will calculate the prime factors of 61746 and 61765.

Prime Factorization of 61746

Prime Factorization of 61765

Now multiplying the highest exponent prime factors to calculate the LCM of 61746 and 61765.

LCM(61746,61765) = 2¹ × 3¹ × 41¹ × 251¹ × 5¹ × 11¹ × 1123¹
LCM(61746,61765) = 3813741690