What is the Least Common Multiple of 61692 and 61697?

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 61692 and 61697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61692 and 61697, than apply into the LCM equation.

GCF(61692,61697) = 1
LCM(61692,61697) = ( 61692 × 61697) / 1
LCM(61692,61697) = 3806211324 / 1
LCM(61692,61697) = 3806211324

Least Common Multiple (LCM) of 61692 and 61697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61692 and 61697. First we will calculate the prime factors of 61692 and 61697.

Prime Factorization of 61692

Prime Factorization of 61697

Now multiplying the highest exponent prime factors to calculate the LCM of 61692 and 61697.

LCM(61692,61697) = 2² × 3¹ × 53¹ × 97¹ × 103¹ × 599¹
LCM(61692,61697) = 3806211324