What is the Least Common Multiple of 7446 and 7450?

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 7446 and 7450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7446 and 7450, than apply into the LCM equation.

GCF(7446,7450) = 2
LCM(7446,7450) = ( 7446 × 7450) / 2
LCM(7446,7450) = 55472700 / 2
LCM(7446,7450) = 27736350

Least Common Multiple (LCM) of 7446 and 7450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7446 and 7450. First we will calculate the prime factors of 7446 and 7450.

Prime Factorization of 7446

Prime Factorization of 7450

Now multiplying the highest exponent prime factors to calculate the LCM of 7446 and 7450.

LCM(7446,7450) = 2¹ × 3¹ × 17¹ × 73¹ × 5² × 149¹
LCM(7446,7450) = 27736350