What is the Least Common Multiple of 61064 and 61079?
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 61064 and 61079 is 3729728056.
LCM(61064,61079) = 3729728056
Least Common Multiple of 61064 and 61079 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61064 and 61079, than apply into the LCM equation.
GCF(61064,61079) = 1
LCM(61064,61079) = ( 61064 × 61079) / 1
LCM(61064,61079) = 3729728056 / 1
LCM(61064,61079) = 3729728056
Least Common Multiple (LCM) of 61064 and 61079 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61064 and 61079. First we will calculate the prime factors of 61064 and 61079.
Prime Factorization of 61064
Prime factors of 61064 are 2, 17, 449. Prime factorization of 61064 in exponential form is:
61064 = 23 × 171 × 4491
Prime Factorization of 61079
Prime factors of 61079 are 103, 593. Prime factorization of 61079 in exponential form is:
61079 = 1031 × 5931
Now multiplying the highest exponent prime factors to calculate the LCM of 61064 and 61079.
LCM(61064,61079) = 23 × 171 × 4491 × 1031 × 5931
LCM(61064,61079) = 3729728056
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