What is the Least Common Multiple of 60702 and 60719?

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 60719 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 60719, than apply into the LCM equation.

GCF(60702,60719) = 1
LCM(60702,60719) = ( 60702 × 60719) / 1
LCM(60702,60719) = 3685764738 / 1
LCM(60702,60719) = 3685764738

Least Common Multiple (LCM) of 60702 and 60719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60702 and 60719. First we will calculate the prime factors of 60702 and 60719.

Prime Factorization of 60702

Prime Factorization of 60719

Now multiplying the highest exponent prime factors to calculate the LCM of 60702 and 60719.

LCM(60702,60719) = 2¹ × 3¹ × 67¹ × 151¹ × 60719¹
LCM(60702,60719) = 3685764738