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What is the Least Common Multiple of 61076 and 61084?

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 61076 and 61084 is 932691596.

LCM(61076,61084) = 932691596

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Least Common Multiple of 61076 and 61084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61076 and 61084, than apply into the LCM equation.

GCF(61076,61084) = 4
LCM(61076,61084) = ( 61076 × 61084) / 4
LCM(61076,61084) = 3730766384 / 4
LCM(61076,61084) = 932691596

Least Common Multiple (LCM) of 61076 and 61084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61076 and 61084. First we will calculate the prime factors of 61076 and 61084.

Prime Factorization of 61076

Prime factors of 61076 are 2, 15269. Prime factorization of 61076 in exponential form is:

61076 = 22 × 152691

Prime Factorization of 61084

Prime factors of 61084 are 2, 15271. Prime factorization of 61084 in exponential form is:

61084 = 22 × 152711

Now multiplying the highest exponent prime factors to calculate the LCM of 61076 and 61084.

LCM(61076,61084) = 22 × 152691 × 152711
LCM(61076,61084) = 932691596