What is the Least Common Multiple of 73905 and 73920?

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 73905 and 73920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73905 and 73920, than apply into the LCM equation.

GCF(73905,73920) = 15
LCM(73905,73920) = ( 73905 × 73920) / 15
LCM(73905,73920) = 5463057600 / 15
LCM(73905,73920) = 364203840

Least Common Multiple (LCM) of 73905 and 73920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73905 and 73920. First we will calculate the prime factors of 73905 and 73920.

Prime Factorization of 73905

Prime Factorization of 73920

Now multiplying the highest exponent prime factors to calculate the LCM of 73905 and 73920.

LCM(73905,73920) = 3¹ × 5¹ × 13¹ × 379¹ × 2⁶ × 7¹ × 11¹
LCM(73905,73920) = 364203840