What is the Least Common Multiple of 61101 and 61112?
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 61101 and 61112 is 3734004312.
LCM(61101,61112) = 3734004312
Least Common Multiple of 61101 and 61112 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61101 and 61112, than apply into the LCM equation.
GCF(61101,61112) = 1
LCM(61101,61112) = ( 61101 × 61112) / 1
LCM(61101,61112) = 3734004312 / 1
LCM(61101,61112) = 3734004312
Least Common Multiple (LCM) of 61101 and 61112 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61101 and 61112. First we will calculate the prime factors of 61101 and 61112.
Prime Factorization of 61101
Prime factors of 61101 are 3, 31, 73. Prime factorization of 61101 in exponential form is:
61101 = 33 × 311 × 731
Prime Factorization of 61112
Prime factors of 61112 are 2, 7639. Prime factorization of 61112 in exponential form is:
61112 = 23 × 76391
Now multiplying the highest exponent prime factors to calculate the LCM of 61101 and 61112.
LCM(61101,61112) = 33 × 311 × 731 × 23 × 76391
LCM(61101,61112) = 3734004312
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