What is the Least Common Multiple of 61420 and 61430?

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 61420 and 61430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61420 and 61430, than apply into the LCM equation.

GCF(61420,61430) = 10
LCM(61420,61430) = ( 61420 × 61430) / 10
LCM(61420,61430) = 3773030600 / 10
LCM(61420,61430) = 377303060

Least Common Multiple (LCM) of 61420 and 61430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61420 and 61430. First we will calculate the prime factors of 61420 and 61430.

Prime Factorization of 61420

Prime Factorization of 61430

Now multiplying the highest exponent prime factors to calculate the LCM of 61420 and 61430.

LCM(61420,61430) = 2² × 5¹ × 37¹ × 83¹ × 6143¹
LCM(61420,61430) = 377303060