What is the Least Common Multiple of 47462 and 47480?

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 47462 and 47480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47462 and 47480, than apply into the LCM equation.

GCF(47462,47480) = 2
LCM(47462,47480) = ( 47462 × 47480) / 2
LCM(47462,47480) = 2253495760 / 2
LCM(47462,47480) = 1126747880

Least Common Multiple (LCM) of 47462 and 47480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47462 and 47480. First we will calculate the prime factors of 47462 and 47480.

Prime Factorization of 47462

Prime Factorization of 47480

Now multiplying the highest exponent prime factors to calculate the LCM of 47462 and 47480.

LCM(47462,47480) = 2³ × 19¹ × 1249¹ × 5¹ × 1187¹
LCM(47462,47480) = 1126747880