What is the Least Common Multiple of 61758 and 61762?

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 61762 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 61762, than apply into the LCM equation.

GCF(61758,61762) = 2
LCM(61758,61762) = ( 61758 × 61762) / 2
LCM(61758,61762) = 3814297596 / 2
LCM(61758,61762) = 1907148798

Least Common Multiple (LCM) of 61758 and 61762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61758 and 61762. First we will calculate the prime factors of 61758 and 61762.

Prime Factorization of 61758

Prime Factorization of 61762

Now multiplying the highest exponent prime factors to calculate the LCM of 61758 and 61762.

LCM(61758,61762) = 2¹ × 3² × 47¹ × 73¹ × 30881¹
LCM(61758,61762) = 1907148798