What is the Least Common Multiple of 60148 and 60159?

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 60148 and 60159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60148 and 60159, than apply into the LCM equation.

GCF(60148,60159) = 11
LCM(60148,60159) = ( 60148 × 60159) / 11
LCM(60148,60159) = 3618443532 / 11
LCM(60148,60159) = 328949412

Least Common Multiple (LCM) of 60148 and 60159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60148 and 60159. First we will calculate the prime factors of 60148 and 60159.

Prime Factorization of 60148

Prime Factorization of 60159

Now multiplying the highest exponent prime factors to calculate the LCM of 60148 and 60159.

LCM(60148,60159) = 2² × 11¹ × 1367¹ × 3¹ × 1823¹
LCM(60148,60159) = 328949412