What is the Least Common Multiple of 60700 and 60718?

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 60700 and 60718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60700 and 60718, than apply into the LCM equation.

GCF(60700,60718) = 2
LCM(60700,60718) = ( 60700 × 60718) / 2
LCM(60700,60718) = 3685582600 / 2
LCM(60700,60718) = 1842791300

Least Common Multiple (LCM) of 60700 and 60718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60700 and 60718. First we will calculate the prime factors of 60700 and 60718.

Prime Factorization of 60700

Prime Factorization of 60718

Now multiplying the highest exponent prime factors to calculate the LCM of 60700 and 60718.

LCM(60700,60718) = 2² × 5² × 607¹ × 7¹ × 4337¹
LCM(60700,60718) = 1842791300