What is the Least Common Multiple of 31474 and 31480?

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 31474 and 31480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31474 and 31480, than apply into the LCM equation.

GCF(31474,31480) = 2
LCM(31474,31480) = ( 31474 × 31480) / 2
LCM(31474,31480) = 990801520 / 2
LCM(31474,31480) = 495400760

Least Common Multiple (LCM) of 31474 and 31480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31474 and 31480. First we will calculate the prime factors of 31474 and 31480.

Prime Factorization of 31474

Prime Factorization of 31480

Now multiplying the highest exponent prime factors to calculate the LCM of 31474 and 31480.

LCM(31474,31480) = 2³ × 15737¹ × 5¹ × 787¹
LCM(31474,31480) = 495400760