What is the Least Common Multiple of 61758 and 61771?

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 61758 and 61771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61758 and 61771, than apply into the LCM equation.

GCF(61758,61771) = 1
LCM(61758,61771) = ( 61758 × 61771) / 1
LCM(61758,61771) = 3814853418 / 1
LCM(61758,61771) = 3814853418

Least Common Multiple (LCM) of 61758 and 61771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61758 and 61771. First we will calculate the prime factors of 61758 and 61771.

Prime Factorization of 61758

Prime Factorization of 61771

Now multiplying the highest exponent prime factors to calculate the LCM of 61758 and 61771.

LCM(61758,61771) = 2¹ × 3² × 47¹ × 73¹ × 223¹ × 277¹
LCM(61758,61771) = 3814853418