What is the Least Common Multiple of 73455 and 73463?

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 73455 and 73463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73455 and 73463, than apply into the LCM equation.

GCF(73455,73463) = 1
LCM(73455,73463) = ( 73455 × 73463) / 1
LCM(73455,73463) = 5396224665 / 1
LCM(73455,73463) = 5396224665

Least Common Multiple (LCM) of 73455 and 73463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73455 and 73463. First we will calculate the prime factors of 73455 and 73463.

Prime Factorization of 73455

Prime Factorization of 73463

Now multiplying the highest exponent prime factors to calculate the LCM of 73455 and 73463.

LCM(73455,73463) = 3¹ × 5¹ × 59¹ × 83¹ × 13¹ × 5651¹
LCM(73455,73463) = 5396224665