What is the Least Common Multiple of 73905 and 73916?

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 73916 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 73916, than apply into the LCM equation.

GCF(73905,73916) = 1
LCM(73905,73916) = ( 73905 × 73916) / 1
LCM(73905,73916) = 5462761980 / 1
LCM(73905,73916) = 5462761980

Least Common Multiple (LCM) of 73905 and 73916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73905 and 73916. First we will calculate the prime factors of 73905 and 73916.

Prime Factorization of 73905

Prime Factorization of 73916

Now multiplying the highest exponent prime factors to calculate the LCM of 73905 and 73916.

LCM(73905,73916) = 3¹ × 5¹ × 13¹ × 379¹ × 2² × 17¹ × 1087¹
LCM(73905,73916) = 5462761980