What is the Least Common Multiple of 49290 and 49304?

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 49290 and 49304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49290 and 49304, than apply into the LCM equation.

GCF(49290,49304) = 2
LCM(49290,49304) = ( 49290 × 49304) / 2
LCM(49290,49304) = 2430194160 / 2
LCM(49290,49304) = 1215097080

Least Common Multiple (LCM) of 49290 and 49304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49290 and 49304. First we will calculate the prime factors of 49290 and 49304.

Prime Factorization of 49290

Prime Factorization of 49304

Now multiplying the highest exponent prime factors to calculate the LCM of 49290 and 49304.

LCM(49290,49304) = 2³ × 3¹ × 5¹ × 31¹ × 53¹ × 6163¹
LCM(49290,49304) = 1215097080