What is the Least Common Multiple of 49070 and 49084?

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 49070 and 49084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49070 and 49084, than apply into the LCM equation.

GCF(49070,49084) = 14
LCM(49070,49084) = ( 49070 × 49084) / 14
LCM(49070,49084) = 2408551880 / 14
LCM(49070,49084) = 172039420

Least Common Multiple (LCM) of 49070 and 49084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49070 and 49084. First we will calculate the prime factors of 49070 and 49084.

Prime Factorization of 49070

Prime Factorization of 49084

Now multiplying the highest exponent prime factors to calculate the LCM of 49070 and 49084.

LCM(49070,49084) = 2² × 5¹ × 7¹ × 701¹ × 1753¹
LCM(49070,49084) = 172039420