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What is the Least Common Multiple of 74003 and 74011?

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 74003 and 74011 is 5477036033.

LCM(74003,74011) = 5477036033

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Least Common Multiple of 74003 and 74011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74003 and 74011, than apply into the LCM equation.

GCF(74003,74011) = 1
LCM(74003,74011) = ( 74003 × 74011) / 1
LCM(74003,74011) = 5477036033 / 1
LCM(74003,74011) = 5477036033

Least Common Multiple (LCM) of 74003 and 74011 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74003 and 74011. First we will calculate the prime factors of 74003 and 74011.

Prime Factorization of 74003

Prime factors of 74003 are 43, 1721. Prime factorization of 74003 in exponential form is:

74003 = 431 × 17211

Prime Factorization of 74011

Prime factors of 74011 are 7, 97, 109. Prime factorization of 74011 in exponential form is:

74011 = 71 × 971 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 74003 and 74011.

LCM(74003,74011) = 431 × 17211 × 71 × 971 × 1091
LCM(74003,74011) = 5477036033