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What is the Least Common Multiple of 73037 and 73054?

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 73037 and 73054 is 5335644998.

LCM(73037,73054) = 5335644998

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Least Common Multiple of 73037 and 73054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73037 and 73054, than apply into the LCM equation.

GCF(73037,73054) = 1
LCM(73037,73054) = ( 73037 × 73054) / 1
LCM(73037,73054) = 5335644998 / 1
LCM(73037,73054) = 5335644998

Least Common Multiple (LCM) of 73037 and 73054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73037 and 73054. First we will calculate the prime factors of 73037 and 73054.

Prime Factorization of 73037

Prime factors of 73037 are 73037. Prime factorization of 73037 in exponential form is:

73037 = 730371

Prime Factorization of 73054

Prime factors of 73054 are 2, 36527. Prime factorization of 73054 in exponential form is:

73054 = 21 × 365271

Now multiplying the highest exponent prime factors to calculate the LCM of 73037 and 73054.

LCM(73037,73054) = 730371 × 21 × 365271
LCM(73037,73054) = 5335644998