What is the Least Common Multiple of 49464 and 49480?

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 49464 and 49480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49464 and 49480, than apply into the LCM equation.

GCF(49464,49480) = 8
LCM(49464,49480) = ( 49464 × 49480) / 8
LCM(49464,49480) = 2447478720 / 8
LCM(49464,49480) = 305934840

Least Common Multiple (LCM) of 49464 and 49480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49464 and 49480. First we will calculate the prime factors of 49464 and 49480.

Prime Factorization of 49464

Prime Factorization of 49480

Now multiplying the highest exponent prime factors to calculate the LCM of 49464 and 49480.

LCM(49464,49480) = 2³ × 3³ × 229¹ × 5¹ × 1237¹
LCM(49464,49480) = 305934840