What is the Least Common Multiple of 70783 and 70787?

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 70783 and 70787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70783 and 70787, than apply into the LCM equation.

GCF(70783,70787) = 1
LCM(70783,70787) = ( 70783 × 70787) / 1
LCM(70783,70787) = 5010516221 / 1
LCM(70783,70787) = 5010516221

Least Common Multiple (LCM) of 70783 and 70787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70783 and 70787. First we will calculate the prime factors of 70783 and 70787.

Prime Factorization of 70783

Prime Factorization of 70787

Now multiplying the highest exponent prime factors to calculate the LCM of 70783 and 70787.

LCM(70783,70787) = 70783¹ × 71¹ × 997¹
LCM(70783,70787) = 5010516221