What is the Least Common Multiple of 61420 and 61434?

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 61434 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 61434, than apply into the LCM equation.

GCF(61420,61434) = 2
LCM(61420,61434) = ( 61420 × 61434) / 2
LCM(61420,61434) = 3773276280 / 2
LCM(61420,61434) = 1886638140

Least Common Multiple (LCM) of 61420 and 61434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61420 and 61434. First we will calculate the prime factors of 61420 and 61434.

Prime Factorization of 61420

Prime Factorization of 61434

Now multiplying the highest exponent prime factors to calculate the LCM of 61420 and 61434.

LCM(61420,61434) = 2² × 5¹ × 37¹ × 83¹ × 3² × 3413¹
LCM(61420,61434) = 1886638140