What is the Least Common Multiple of 60608 and 60626?

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 60608 and 60626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60608 and 60626, than apply into the LCM equation.

GCF(60608,60626) = 2
LCM(60608,60626) = ( 60608 × 60626) / 2
LCM(60608,60626) = 3674420608 / 2
LCM(60608,60626) = 1837210304

Least Common Multiple (LCM) of 60608 and 60626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60608 and 60626. First we will calculate the prime factors of 60608 and 60626.

Prime Factorization of 60608

Prime Factorization of 60626

Now multiplying the highest exponent prime factors to calculate the LCM of 60608 and 60626.

LCM(60608,60626) = 2⁶ × 947¹ × 30313¹
LCM(60608,60626) = 1837210304