What is the Least Common Multiple of 35770 and 35784?

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 35770 and 35784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35770 and 35784, than apply into the LCM equation.

GCF(35770,35784) = 14
LCM(35770,35784) = ( 35770 × 35784) / 14
LCM(35770,35784) = 1279993680 / 14
LCM(35770,35784) = 91428120

Least Common Multiple (LCM) of 35770 and 35784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35770 and 35784. First we will calculate the prime factors of 35770 and 35784.

Prime Factorization of 35770

Prime Factorization of 35784

Now multiplying the highest exponent prime factors to calculate the LCM of 35770 and 35784.

LCM(35770,35784) = 2³ × 5¹ × 7² × 73¹ × 3² × 71¹
LCM(35770,35784) = 91428120