What is the Least Common Multiple of 60974 and 60978?

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 60974 and 60978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60974 and 60978, than apply into the LCM equation.

GCF(60974,60978) = 2
LCM(60974,60978) = ( 60974 × 60978) / 2
LCM(60974,60978) = 3718072572 / 2
LCM(60974,60978) = 1859036286

Least Common Multiple (LCM) of 60974 and 60978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60974 and 60978. First we will calculate the prime factors of 60974 and 60978.

Prime Factorization of 60974

Prime Factorization of 60978

Now multiplying the highest exponent prime factors to calculate the LCM of 60974 and 60978.

LCM(60974,60978) = 2¹ × 43¹ × 709¹ × 3¹ × 10163¹
LCM(60974,60978) = 1859036286