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What is the Least Common Multiple of 55077 and 55092?

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 55077 and 55092 is 1011434028.

LCM(55077,55092) = 1011434028

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Least Common Multiple of 55077 and 55092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55077 and 55092, than apply into the LCM equation.

GCF(55077,55092) = 3
LCM(55077,55092) = ( 55077 × 55092) / 3
LCM(55077,55092) = 3034302084 / 3
LCM(55077,55092) = 1011434028

Least Common Multiple (LCM) of 55077 and 55092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55077 and 55092. First we will calculate the prime factors of 55077 and 55092.

Prime Factorization of 55077

Prime factors of 55077 are 3, 11, 1669. Prime factorization of 55077 in exponential form is:

55077 = 31 × 111 × 16691

Prime Factorization of 55092

Prime factors of 55092 are 2, 3, 4591. Prime factorization of 55092 in exponential form is:

55092 = 22 × 31 × 45911

Now multiplying the highest exponent prime factors to calculate the LCM of 55077 and 55092.

LCM(55077,55092) = 31 × 111 × 16691 × 22 × 45911
LCM(55077,55092) = 1011434028