What is the Least Common Multiple of 66560 and 66574?

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 66560 and 66574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66560 and 66574, than apply into the LCM equation.

GCF(66560,66574) = 2
LCM(66560,66574) = ( 66560 × 66574) / 2
LCM(66560,66574) = 4431165440 / 2
LCM(66560,66574) = 2215582720

Least Common Multiple (LCM) of 66560 and 66574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66560 and 66574. First we will calculate the prime factors of 66560 and 66574.

Prime Factorization of 66560

Prime Factorization of 66574

Now multiplying the highest exponent prime factors to calculate the LCM of 66560 and 66574.

LCM(66560,66574) = 2¹⁰ × 5¹ × 13¹ × 33287¹
LCM(66560,66574) = 2215582720