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What is the Least Common Multiple of 54646 and 54662?

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 54646 and 54662 is 1493529826.

LCM(54646,54662) = 1493529826

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Least Common Multiple of 54646 and 54662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54646 and 54662, than apply into the LCM equation.

GCF(54646,54662) = 2
LCM(54646,54662) = ( 54646 × 54662) / 2
LCM(54646,54662) = 2987059652 / 2
LCM(54646,54662) = 1493529826

Least Common Multiple (LCM) of 54646 and 54662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54646 and 54662. First we will calculate the prime factors of 54646 and 54662.

Prime Factorization of 54646

Prime factors of 54646 are 2, 89, 307. Prime factorization of 54646 in exponential form is:

54646 = 21 × 891 × 3071

Prime Factorization of 54662

Prime factors of 54662 are 2, 151, 181. Prime factorization of 54662 in exponential form is:

54662 = 21 × 1511 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 54646 and 54662.

LCM(54646,54662) = 21 × 891 × 3071 × 1511 × 1811
LCM(54646,54662) = 1493529826