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What is the Least Common Multiple of 65949 and 65967?

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 65949 and 65967 is 1450152561.

LCM(65949,65967) = 1450152561

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Least Common Multiple of 65949 and 65967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65949 and 65967, than apply into the LCM equation.

GCF(65949,65967) = 3
LCM(65949,65967) = ( 65949 × 65967) / 3
LCM(65949,65967) = 4350457683 / 3
LCM(65949,65967) = 1450152561

Least Common Multiple (LCM) of 65949 and 65967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65949 and 65967. First we will calculate the prime factors of 65949 and 65967.

Prime Factorization of 65949

Prime factors of 65949 are 3, 13, 19, 89. Prime factorization of 65949 in exponential form is:

65949 = 31 × 131 × 191 × 891

Prime Factorization of 65967

Prime factors of 65967 are 3, 11, 1999. Prime factorization of 65967 in exponential form is:

65967 = 31 × 111 × 19991

Now multiplying the highest exponent prime factors to calculate the LCM of 65949 and 65967.

LCM(65949,65967) = 31 × 131 × 191 × 891 × 111 × 19991
LCM(65949,65967) = 1450152561