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What is the Least Common Multiple of 39618 and 39622?

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 39618 and 39622 is 784872198.

LCM(39618,39622) = 784872198

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Least Common Multiple of 39618 and 39622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39618 and 39622, than apply into the LCM equation.

GCF(39618,39622) = 2
LCM(39618,39622) = ( 39618 × 39622) / 2
LCM(39618,39622) = 1569744396 / 2
LCM(39618,39622) = 784872198

Least Common Multiple (LCM) of 39618 and 39622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39618 and 39622. First we will calculate the prime factors of 39618 and 39622.

Prime Factorization of 39618

Prime factors of 39618 are 2, 3, 31, 71. Prime factorization of 39618 in exponential form is:

39618 = 21 × 32 × 311 × 711

Prime Factorization of 39622

Prime factors of 39622 are 2, 11, 1801. Prime factorization of 39622 in exponential form is:

39622 = 21 × 111 × 18011

Now multiplying the highest exponent prime factors to calculate the LCM of 39618 and 39622.

LCM(39618,39622) = 21 × 32 × 311 × 711 × 111 × 18011
LCM(39618,39622) = 784872198