What is the Least Common Multiple of 49236 and 49247?

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 49236 and 49247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49236 and 49247, than apply into the LCM equation.

GCF(49236,49247) = 11
LCM(49236,49247) = ( 49236 × 49247) / 11
LCM(49236,49247) = 2424725292 / 11
LCM(49236,49247) = 220429572

Least Common Multiple (LCM) of 49236 and 49247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49236 and 49247. First we will calculate the prime factors of 49236 and 49247.

Prime Factorization of 49236

Prime Factorization of 49247

Now multiplying the highest exponent prime factors to calculate the LCM of 49236 and 49247.

LCM(49236,49247) = 2² × 3¹ × 11³ × 373¹ × 37¹
LCM(49236,49247) = 220429572