What is the Least Common Multiple of 45452 and 45470?

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 45452 and 45470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45452 and 45470, than apply into the LCM equation.

GCF(45452,45470) = 2
LCM(45452,45470) = ( 45452 × 45470) / 2
LCM(45452,45470) = 2066702440 / 2
LCM(45452,45470) = 1033351220

Least Common Multiple (LCM) of 45452 and 45470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45452 and 45470. First we will calculate the prime factors of 45452 and 45470.

Prime Factorization of 45452

Prime Factorization of 45470

Now multiplying the highest exponent prime factors to calculate the LCM of 45452 and 45470.

LCM(45452,45470) = 2² × 11¹ × 1033¹ × 5¹ × 4547¹
LCM(45452,45470) = 1033351220