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What is the Least Common Multiple of 4026 and 4037?

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 4026 and 4037 is 1477542.

LCM(4026,4037) = 1477542

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Least Common Multiple of 4026 and 4037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4026 and 4037, than apply into the LCM equation.

GCF(4026,4037) = 11
LCM(4026,4037) = ( 4026 × 4037) / 11
LCM(4026,4037) = 16252962 / 11
LCM(4026,4037) = 1477542

Least Common Multiple (LCM) of 4026 and 4037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4026 and 4037. First we will calculate the prime factors of 4026 and 4037.

Prime Factorization of 4026

Prime factors of 4026 are 2, 3, 11, 61. Prime factorization of 4026 in exponential form is:

4026 = 21 × 31 × 111 × 611

Prime Factorization of 4037

Prime factors of 4037 are 11, 367. Prime factorization of 4037 in exponential form is:

4037 = 111 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 4026 and 4037.

LCM(4026,4037) = 21 × 31 × 111 × 611 × 3671
LCM(4026,4037) = 1477542