What is the Least Common Multiple of 60840 and 60850?

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 60840 and 60850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60840 and 60850, than apply into the LCM equation.

GCF(60840,60850) = 10
LCM(60840,60850) = ( 60840 × 60850) / 10
LCM(60840,60850) = 3702114000 / 10
LCM(60840,60850) = 370211400

Least Common Multiple (LCM) of 60840 and 60850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60840 and 60850. First we will calculate the prime factors of 60840 and 60850.

Prime Factorization of 60840

Prime Factorization of 60850

Now multiplying the highest exponent prime factors to calculate the LCM of 60840 and 60850.

LCM(60840,60850) = 2³ × 3² × 5² × 13² × 1217¹
LCM(60840,60850) = 370211400