What is the Least Common Multiple of 60410 and 60430?

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 60410 and 60430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60410 and 60430, than apply into the LCM equation.

GCF(60410,60430) = 10
LCM(60410,60430) = ( 60410 × 60430) / 10
LCM(60410,60430) = 3650576300 / 10
LCM(60410,60430) = 365057630

Least Common Multiple (LCM) of 60410 and 60430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60410 and 60430. First we will calculate the prime factors of 60410 and 60430.

Prime Factorization of 60410

Prime Factorization of 60430

Now multiplying the highest exponent prime factors to calculate the LCM of 60410 and 60430.

LCM(60410,60430) = 2¹ × 5¹ × 7¹ × 863¹ × 6043¹
LCM(60410,60430) = 365057630