What is the Least Common Multiple of 60930 and 60949?

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 60930 and 60949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60930 and 60949, than apply into the LCM equation.

GCF(60930,60949) = 1
LCM(60930,60949) = ( 60930 × 60949) / 1
LCM(60930,60949) = 3713622570 / 1
LCM(60930,60949) = 3713622570

Least Common Multiple (LCM) of 60930 and 60949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60930 and 60949. First we will calculate the prime factors of 60930 and 60949.

Prime Factorization of 60930

Prime Factorization of 60949

Now multiplying the highest exponent prime factors to calculate the LCM of 60930 and 60949.

LCM(60930,60949) = 2¹ × 3² × 5¹ × 677¹ × 7¹ × 8707¹
LCM(60930,60949) = 3713622570