What is the Least Common Multiple of 73671 and 73680?

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 73671 and 73680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73671 and 73680, than apply into the LCM equation.

GCF(73671,73680) = 3
LCM(73671,73680) = ( 73671 × 73680) / 3
LCM(73671,73680) = 5428079280 / 3
LCM(73671,73680) = 1809359760

Least Common Multiple (LCM) of 73671 and 73680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73671 and 73680. First we will calculate the prime factors of 73671 and 73680.

Prime Factorization of 73671

Prime Factorization of 73680

Now multiplying the highest exponent prime factors to calculate the LCM of 73671 and 73680.

LCM(73671,73680) = 3¹ × 13¹ × 1889¹ × 2⁴ × 5¹ × 307¹
LCM(73671,73680) = 1809359760