What is the Least Common Multiple of 84356 and 84376?

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 84356 and 84376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84356 and 84376, than apply into the LCM equation.

GCF(84356,84376) = 4
LCM(84356,84376) = ( 84356 × 84376) / 4
LCM(84356,84376) = 7117621856 / 4
LCM(84356,84376) = 1779405464

Least Common Multiple (LCM) of 84356 and 84376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84356 and 84376. First we will calculate the prime factors of 84356 and 84376.

Prime Factorization of 84356

Prime Factorization of 84376

Now multiplying the highest exponent prime factors to calculate the LCM of 84356 and 84376.

LCM(84356,84376) = 2³ × 21089¹ × 53¹ × 199¹
LCM(84356,84376) = 1779405464