What is the Least Common Multiple of 61400 and 61414?

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 61400 and 61414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61400 and 61414, than apply into the LCM equation.

GCF(61400,61414) = 2
LCM(61400,61414) = ( 61400 × 61414) / 2
LCM(61400,61414) = 3770819600 / 2
LCM(61400,61414) = 1885409800

Least Common Multiple (LCM) of 61400 and 61414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61400 and 61414. First we will calculate the prime factors of 61400 and 61414.

Prime Factorization of 61400

Prime Factorization of 61414

Now multiplying the highest exponent prime factors to calculate the LCM of 61400 and 61414.

LCM(61400,61414) = 2³ × 5² × 307¹ × 30707¹
LCM(61400,61414) = 1885409800