What is the Least Common Multiple of 60676 and 60686?

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 60676 and 60686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60676 and 60686, than apply into the LCM equation.

GCF(60676,60686) = 2
LCM(60676,60686) = ( 60676 × 60686) / 2
LCM(60676,60686) = 3682183736 / 2
LCM(60676,60686) = 1841091868

Least Common Multiple (LCM) of 60676 and 60686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60676 and 60686. First we will calculate the prime factors of 60676 and 60686.

Prime Factorization of 60676

Prime Factorization of 60686

Now multiplying the highest exponent prime factors to calculate the LCM of 60676 and 60686.

LCM(60676,60686) = 2² × 7¹ × 11¹ × 197¹ × 19¹ × 1597¹
LCM(60676,60686) = 1841091868