What is the Least Common Multiple of 84273 and 84277?

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 84273 and 84277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84273 and 84277, than apply into the LCM equation.

GCF(84273,84277) = 1
LCM(84273,84277) = ( 84273 × 84277) / 1
LCM(84273,84277) = 7102275621 / 1
LCM(84273,84277) = 7102275621

Least Common Multiple (LCM) of 84273 and 84277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84273 and 84277. First we will calculate the prime factors of 84273 and 84277.

Prime Factorization of 84273

Prime Factorization of 84277

Now multiplying the highest exponent prime factors to calculate the LCM of 84273 and 84277.

LCM(84273,84277) = 3¹ × 7¹ × 4013¹ × 71¹ × 1187¹
LCM(84273,84277) = 7102275621