What is the Least Common Multiple of 70773 and 70783?

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 70773 and 70783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70773 and 70783, than apply into the LCM equation.

GCF(70773,70783) = 1
LCM(70773,70783) = ( 70773 × 70783) / 1
LCM(70773,70783) = 5009525259 / 1
LCM(70773,70783) = 5009525259

Least Common Multiple (LCM) of 70773 and 70783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70773 and 70783. First we will calculate the prime factors of 70773 and 70783.

Prime Factorization of 70773

Prime Factorization of 70783

Now multiplying the highest exponent prime factors to calculate the LCM of 70773 and 70783.

LCM(70773,70783) = 3¹ × 31¹ × 761¹ × 70783¹
LCM(70773,70783) = 5009525259