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What is the Least Common Multiple of 65955 and 65973?

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 65955 and 65973 is 1450416405.

LCM(65955,65973) = 1450416405

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Least Common Multiple of 65955 and 65973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65955 and 65973, than apply into the LCM equation.

GCF(65955,65973) = 3
LCM(65955,65973) = ( 65955 × 65973) / 3
LCM(65955,65973) = 4351249215 / 3
LCM(65955,65973) = 1450416405

Least Common Multiple (LCM) of 65955 and 65973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65955 and 65973. First we will calculate the prime factors of 65955 and 65973.

Prime Factorization of 65955

Prime factors of 65955 are 3, 5, 4397. Prime factorization of 65955 in exponential form is:

65955 = 31 × 51 × 43971

Prime Factorization of 65973

Prime factors of 65973 are 3, 21991. Prime factorization of 65973 in exponential form is:

65973 = 31 × 219911

Now multiplying the highest exponent prime factors to calculate the LCM of 65955 and 65973.

LCM(65955,65973) = 31 × 51 × 43971 × 219911
LCM(65955,65973) = 1450416405