What is the Least Common Multiple of 60658 and 60671?

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 60658 and 60671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60658 and 60671, than apply into the LCM equation.

GCF(60658,60671) = 13
LCM(60658,60671) = ( 60658 × 60671) / 13
LCM(60658,60671) = 3680181518 / 13
LCM(60658,60671) = 283090886

Least Common Multiple (LCM) of 60658 and 60671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60658 and 60671. First we will calculate the prime factors of 60658 and 60671.

Prime Factorization of 60658

Prime Factorization of 60671

Now multiplying the highest exponent prime factors to calculate the LCM of 60658 and 60671.

LCM(60658,60671) = 2¹ × 13² × 2333¹ × 359¹
LCM(60658,60671) = 283090886