What is the Least Common Multiple of 60415 and 60435?

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 60415 and 60435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60415 and 60435, than apply into the LCM equation.

GCF(60415,60435) = 5
LCM(60415,60435) = ( 60415 × 60435) / 5
LCM(60415,60435) = 3651180525 / 5
LCM(60415,60435) = 730236105

Least Common Multiple (LCM) of 60415 and 60435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60415 and 60435. First we will calculate the prime factors of 60415 and 60435.

Prime Factorization of 60415

Prime Factorization of 60435

Now multiplying the highest exponent prime factors to calculate the LCM of 60415 and 60435.

LCM(60415,60435) = 5¹ × 43¹ × 281¹ × 3² × 17¹ × 79¹
LCM(60415,60435) = 730236105