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What is the Least Common Multiple of 65641 and 65650?

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 65641 and 65650 is 4309331650.

LCM(65641,65650) = 4309331650

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Least Common Multiple of 65641 and 65650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65641 and 65650, than apply into the LCM equation.

GCF(65641,65650) = 1
LCM(65641,65650) = ( 65641 × 65650) / 1
LCM(65641,65650) = 4309331650 / 1
LCM(65641,65650) = 4309331650

Least Common Multiple (LCM) of 65641 and 65650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65641 and 65650. First we will calculate the prime factors of 65641 and 65650.

Prime Factorization of 65641

Prime factors of 65641 are 41, 1601. Prime factorization of 65641 in exponential form is:

65641 = 411 × 16011

Prime Factorization of 65650

Prime factors of 65650 are 2, 5, 13, 101. Prime factorization of 65650 in exponential form is:

65650 = 21 × 52 × 131 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 65641 and 65650.

LCM(65641,65650) = 411 × 16011 × 21 × 52 × 131 × 1011
LCM(65641,65650) = 4309331650