What is the Least Common Multiple of 47196 and 47207?

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 47196 and 47207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47196 and 47207, than apply into the LCM equation.

GCF(47196,47207) = 1
LCM(47196,47207) = ( 47196 × 47207) / 1
LCM(47196,47207) = 2227981572 / 1
LCM(47196,47207) = 2227981572

Least Common Multiple (LCM) of 47196 and 47207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47196 and 47207. First we will calculate the prime factors of 47196 and 47207.

Prime Factorization of 47196

Prime Factorization of 47207

Now multiplying the highest exponent prime factors to calculate the LCM of 47196 and 47207.

LCM(47196,47207) = 2² × 3³ × 19¹ × 23¹ × 47207¹
LCM(47196,47207) = 2227981572