What is the Least Common Multiple of 73900 and 73904?

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 73900 and 73904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73900 and 73904, than apply into the LCM equation.

GCF(73900,73904) = 4
LCM(73900,73904) = ( 73900 × 73904) / 4
LCM(73900,73904) = 5461505600 / 4
LCM(73900,73904) = 1365376400

Least Common Multiple (LCM) of 73900 and 73904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73900 and 73904. First we will calculate the prime factors of 73900 and 73904.

Prime Factorization of 73900

Prime Factorization of 73904

Now multiplying the highest exponent prime factors to calculate the LCM of 73900 and 73904.

LCM(73900,73904) = 2⁴ × 5² × 739¹ × 31¹ × 149¹
LCM(73900,73904) = 1365376400