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What is the Least Common Multiple of 54762 and 54766?

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 54762 and 54766 is 1499547846.

LCM(54762,54766) = 1499547846

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Least Common Multiple of 54762 and 54766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54762 and 54766, than apply into the LCM equation.

GCF(54762,54766) = 2
LCM(54762,54766) = ( 54762 × 54766) / 2
LCM(54762,54766) = 2999095692 / 2
LCM(54762,54766) = 1499547846

Least Common Multiple (LCM) of 54762 and 54766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54762 and 54766. First we will calculate the prime factors of 54762 and 54766.

Prime Factorization of 54762

Prime factors of 54762 are 2, 3, 9127. Prime factorization of 54762 in exponential form is:

54762 = 21 × 31 × 91271

Prime Factorization of 54766

Prime factors of 54766 are 2, 139, 197. Prime factorization of 54766 in exponential form is:

54766 = 21 × 1391 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 54762 and 54766.

LCM(54762,54766) = 21 × 31 × 91271 × 1391 × 1971
LCM(54762,54766) = 1499547846