What is the Least Common Multiple of 61068 and 61081?
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 61068 and 61081 is 3730094508.
LCM(61068,61081) = 3730094508
Least Common Multiple of 61068 and 61081 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61068 and 61081, than apply into the LCM equation.
GCF(61068,61081) = 1
LCM(61068,61081) = ( 61068 × 61081) / 1
LCM(61068,61081) = 3730094508 / 1
LCM(61068,61081) = 3730094508
Least Common Multiple (LCM) of 61068 and 61081 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61068 and 61081. First we will calculate the prime factors of 61068 and 61081.
Prime Factorization of 61068
Prime factors of 61068 are 2, 3, 7, 727. Prime factorization of 61068 in exponential form is:
61068 = 22 × 31 × 71 × 7271
Prime Factorization of 61081
Prime factors of 61081 are 17, 3593. Prime factorization of 61081 in exponential form is:
61081 = 171 × 35931
Now multiplying the highest exponent prime factors to calculate the LCM of 61068 and 61081.
LCM(61068,61081) = 22 × 31 × 71 × 7271 × 171 × 35931
LCM(61068,61081) = 3730094508
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