What is the Least Common Multiple of 35750 and 35770?

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 35750 and 35770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35750 and 35770, than apply into the LCM equation.

GCF(35750,35770) = 10
LCM(35750,35770) = ( 35750 × 35770) / 10
LCM(35750,35770) = 1278777500 / 10
LCM(35750,35770) = 127877750

Least Common Multiple (LCM) of 35750 and 35770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35750 and 35770. First we will calculate the prime factors of 35750 and 35770.

Prime Factorization of 35750

Prime Factorization of 35770

Now multiplying the highest exponent prime factors to calculate the LCM of 35750 and 35770.

LCM(35750,35770) = 2¹ × 5³ × 11¹ × 13¹ × 7² × 73¹
LCM(35750,35770) = 127877750