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What is the Least Common Multiple of 73657 and 73661?

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 73657 and 73661 is 5425648277.

LCM(73657,73661) = 5425648277

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Least Common Multiple of 73657 and 73661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73657 and 73661, than apply into the LCM equation.

GCF(73657,73661) = 1
LCM(73657,73661) = ( 73657 × 73661) / 1
LCM(73657,73661) = 5425648277 / 1
LCM(73657,73661) = 5425648277

Least Common Multiple (LCM) of 73657 and 73661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73657 and 73661. First we will calculate the prime factors of 73657 and 73661.

Prime Factorization of 73657

Prime factors of 73657 are 73, 1009. Prime factorization of 73657 in exponential form is:

73657 = 731 × 10091

Prime Factorization of 73661

Prime factors of 73661 are 7, 17, 619. Prime factorization of 73661 in exponential form is:

73661 = 71 × 171 × 6191

Now multiplying the highest exponent prime factors to calculate the LCM of 73657 and 73661.

LCM(73657,73661) = 731 × 10091 × 71 × 171 × 6191
LCM(73657,73661) = 5425648277