What is the Least Common Multiple of 61061 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 61061 and 61081 is 3729666941.
LCM(61061,61081) = 3729666941
Least Common Multiple of 61061 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 61061 and 61081, than apply into the LCM equation.
GCF(61061,61081) = 1
LCM(61061,61081) = ( 61061 × 61081) / 1
LCM(61061,61081) = 3729666941 / 1
LCM(61061,61081) = 3729666941
Least Common Multiple (LCM) of 61061 and 61081 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61061 and 61081. First we will calculate the prime factors of 61061 and 61081.
Prime Factorization of 61061
Prime factors of 61061 are 7, 11, 13, 61. Prime factorization of 61061 in exponential form is:
61061 = 71 × 111 × 131 × 611
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 61061 and 61081.
LCM(61061,61081) = 71 × 111 × 131 × 611 × 171 × 35931
LCM(61061,61081) = 3729666941
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