What is the Least Common Multiple of 74770 and 74784?

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 74770 and 74784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74770 and 74784, than apply into the LCM equation.

GCF(74770,74784) = 2
LCM(74770,74784) = ( 74770 × 74784) / 2
LCM(74770,74784) = 5591599680 / 2
LCM(74770,74784) = 2795799840

Least Common Multiple (LCM) of 74770 and 74784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74770 and 74784. First we will calculate the prime factors of 74770 and 74784.

Prime Factorization of 74770

Prime Factorization of 74784

Now multiplying the highest exponent prime factors to calculate the LCM of 74770 and 74784.

LCM(74770,74784) = 2⁵ × 5¹ × 7477¹ × 3¹ × 19¹ × 41¹
LCM(74770,74784) = 2795799840