What is the Least Common Multiple of 72560 and 72566?

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 72560 and 72566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72560 and 72566, than apply into the LCM equation.

GCF(72560,72566) = 2
LCM(72560,72566) = ( 72560 × 72566) / 2
LCM(72560,72566) = 5265388960 / 2
LCM(72560,72566) = 2632694480

Least Common Multiple (LCM) of 72560 and 72566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72560 and 72566. First we will calculate the prime factors of 72560 and 72566.

Prime Factorization of 72560

Prime Factorization of 72566

Now multiplying the highest exponent prime factors to calculate the LCM of 72560 and 72566.

LCM(72560,72566) = 2⁴ × 5¹ × 907¹ × 13¹ × 2791¹
LCM(72560,72566) = 2632694480