What is the Least Common Multiple of 70755 and 70773?

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 70755 and 70773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70755 and 70773, than apply into the LCM equation.

GCF(70755,70773) = 3
LCM(70755,70773) = ( 70755 × 70773) / 3
LCM(70755,70773) = 5007543615 / 3
LCM(70755,70773) = 1669181205

Least Common Multiple (LCM) of 70755 and 70773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70755 and 70773. First we will calculate the prime factors of 70755 and 70773.

Prime Factorization of 70755

Prime Factorization of 70773

Now multiplying the highest exponent prime factors to calculate the LCM of 70755 and 70773.

LCM(70755,70773) = 3¹ × 5¹ × 53¹ × 89¹ × 31¹ × 761¹
LCM(70755,70773) = 1669181205