What is the Least Common Multiple of 61692 and 61705?

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 61705 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 61705, than apply into the LCM equation.

GCF(61692,61705) = 1
LCM(61692,61705) = ( 61692 × 61705) / 1
LCM(61692,61705) = 3806704860 / 1
LCM(61692,61705) = 3806704860

Least Common Multiple (LCM) of 61692 and 61705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61692 and 61705. First we will calculate the prime factors of 61692 and 61705.

Prime Factorization of 61692

Prime Factorization of 61705

Now multiplying the highest exponent prime factors to calculate the LCM of 61692 and 61705.

LCM(61692,61705) = 2² × 3¹ × 53¹ × 97¹ × 5¹ × 7¹ × 41¹ × 43¹
LCM(61692,61705) = 3806704860