What is the Least Common Multiple of 60702 and 60714?

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 60702 and 60714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60702 and 60714, than apply into the LCM equation.

GCF(60702,60714) = 6
LCM(60702,60714) = ( 60702 × 60714) / 6
LCM(60702,60714) = 3685461228 / 6
LCM(60702,60714) = 614243538

Least Common Multiple (LCM) of 60702 and 60714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60702 and 60714. First we will calculate the prime factors of 60702 and 60714.

Prime Factorization of 60702

Prime Factorization of 60714

Now multiplying the highest exponent prime factors to calculate the LCM of 60702 and 60714.

LCM(60702,60714) = 2¹ × 3² × 67¹ × 151¹ × 3373¹
LCM(60702,60714) = 614243538