What is the Least Common Multiple of 47750 and 47769?

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 47750 and 47769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47750 and 47769, than apply into the LCM equation.

GCF(47750,47769) = 1
LCM(47750,47769) = ( 47750 × 47769) / 1
LCM(47750,47769) = 2280969750 / 1
LCM(47750,47769) = 2280969750

Least Common Multiple (LCM) of 47750 and 47769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47750 and 47769. First we will calculate the prime factors of 47750 and 47769.

Prime Factorization of 47750

Prime Factorization of 47769

Now multiplying the highest exponent prime factors to calculate the LCM of 47750 and 47769.

LCM(47750,47769) = 2¹ × 5³ × 191¹ × 3¹ × 15923¹
LCM(47750,47769) = 2280969750