What is the Least Common Multiple of 49170 and 49184?

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 49170 and 49184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49170 and 49184, than apply into the LCM equation.

GCF(49170,49184) = 2
LCM(49170,49184) = ( 49170 × 49184) / 2
LCM(49170,49184) = 2418377280 / 2
LCM(49170,49184) = 1209188640

Least Common Multiple (LCM) of 49170 and 49184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49170 and 49184. First we will calculate the prime factors of 49170 and 49184.

Prime Factorization of 49170

Prime Factorization of 49184

Now multiplying the highest exponent prime factors to calculate the LCM of 49170 and 49184.

LCM(49170,49184) = 2⁵ × 3¹ × 5¹ × 11¹ × 149¹ × 29¹ × 53¹
LCM(49170,49184) = 1209188640