What is the Least Common Multiple of 49616 and 49630?

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 49616 and 49630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49616 and 49630, than apply into the LCM equation.

GCF(49616,49630) = 14
LCM(49616,49630) = ( 49616 × 49630) / 14
LCM(49616,49630) = 2462442080 / 14
LCM(49616,49630) = 175888720

Least Common Multiple (LCM) of 49616 and 49630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49616 and 49630. First we will calculate the prime factors of 49616 and 49630.

Prime Factorization of 49616

Prime Factorization of 49630

Now multiplying the highest exponent prime factors to calculate the LCM of 49616 and 49630.

LCM(49616,49630) = 2⁴ × 7¹ × 443¹ × 5¹ × 709¹
LCM(49616,49630) = 175888720