What is the Least Common Multiple of 61038 and 61043?
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 61038 and 61043 is 3725942634.
LCM(61038,61043) = 3725942634
Least Common Multiple of 61038 and 61043 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61038 and 61043, than apply into the LCM equation.
GCF(61038,61043) = 1
LCM(61038,61043) = ( 61038 × 61043) / 1
LCM(61038,61043) = 3725942634 / 1
LCM(61038,61043) = 3725942634
Least Common Multiple (LCM) of 61038 and 61043 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61038 and 61043. First we will calculate the prime factors of 61038 and 61043.
Prime Factorization of 61038
Prime factors of 61038 are 2, 3, 3391. Prime factorization of 61038 in exponential form is:
61038 = 21 × 32 × 33911
Prime Factorization of 61043
Prime factors of 61043 are 61043. Prime factorization of 61043 in exponential form is:
61043 = 610431
Now multiplying the highest exponent prime factors to calculate the LCM of 61038 and 61043.
LCM(61038,61043) = 21 × 32 × 33911 × 610431
LCM(61038,61043) = 3725942634
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