What is the Least Common Multiple of 60705 and 60713?

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 60705 and 60713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60705 and 60713, than apply into the LCM equation.

GCF(60705,60713) = 1
LCM(60705,60713) = ( 60705 × 60713) / 1
LCM(60705,60713) = 3685582665 / 1
LCM(60705,60713) = 3685582665

Least Common Multiple (LCM) of 60705 and 60713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60705 and 60713. First we will calculate the prime factors of 60705 and 60713.

Prime Factorization of 60705

Prime Factorization of 60713

Now multiplying the highest exponent prime factors to calculate the LCM of 60705 and 60713.

LCM(60705,60713) = 3² × 5¹ × 19¹ × 71¹ × 109¹ × 557¹
LCM(60705,60713) = 3685582665