GCF and LCM Calculator Logo

What is the Least Common Multiple of 73560 and 73573?

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 (LCM) of 73560 and 73573 is 5412029880.

LCM(73560,73573) = 5412029880

LCM Calculator and
and

Least Common Multiple of 73560 and 73573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73560 and 73573, than apply into the LCM equation.

GCF(73560,73573) = 1
LCM(73560,73573) = ( 73560 × 73573) / 1
LCM(73560,73573) = 5412029880 / 1
LCM(73560,73573) = 5412029880

Least Common Multiple (LCM) of 73560 and 73573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73560 and 73573. First we will calculate the prime factors of 73560 and 73573.

Prime Factorization of 73560

Prime factors of 73560 are 2, 3, 5, 613. Prime factorization of 73560 in exponential form is:

73560 = 23 × 31 × 51 × 6131

Prime Factorization of 73573

Prime factors of 73573 are 29, 43, 59. Prime factorization of 73573 in exponential form is:

73573 = 291 × 431 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 73560 and 73573.

LCM(73560,73573) = 23 × 31 × 51 × 6131 × 291 × 431 × 591
LCM(73560,73573) = 5412029880