What is the Least Common Multiple of 61043 and 61050?
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 61043 and 61050 is 3726675150.
LCM(61043,61050) = 3726675150
Least Common Multiple of 61043 and 61050 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61043 and 61050, than apply into the LCM equation.
GCF(61043,61050) = 1
LCM(61043,61050) = ( 61043 × 61050) / 1
LCM(61043,61050) = 3726675150 / 1
LCM(61043,61050) = 3726675150
Least Common Multiple (LCM) of 61043 and 61050 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61043 and 61050. First we will calculate the prime factors of 61043 and 61050.
Prime Factorization of 61043
Prime factors of 61043 are 61043. Prime factorization of 61043 in exponential form is:
61043 = 610431
Prime Factorization of 61050
Prime factors of 61050 are 2, 3, 5, 11, 37. Prime factorization of 61050 in exponential form is:
61050 = 21 × 31 × 52 × 111 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 61043 and 61050.
LCM(61043,61050) = 610431 × 21 × 31 × 52 × 111 × 371
LCM(61043,61050) = 3726675150
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