What is the Least Common Multiple of 54693 and 54710?
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 54693 and 54710 is 2992254030.
LCM(54693,54710) = 2992254030
Least Common Multiple of 54693 and 54710 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54693 and 54710, than apply into the LCM equation.
GCF(54693,54710) = 1
LCM(54693,54710) = ( 54693 × 54710) / 1
LCM(54693,54710) = 2992254030 / 1
LCM(54693,54710) = 2992254030
Least Common Multiple (LCM) of 54693 and 54710 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54693 and 54710. First we will calculate the prime factors of 54693 and 54710.
Prime Factorization of 54693
Prime factors of 54693 are 3, 59, 103. Prime factorization of 54693 in exponential form is:
54693 = 32 × 591 × 1031
Prime Factorization of 54710
Prime factors of 54710 are 2, 5, 5471. Prime factorization of 54710 in exponential form is:
54710 = 21 × 51 × 54711
Now multiplying the highest exponent prime factors to calculate the LCM of 54693 and 54710.
LCM(54693,54710) = 32 × 591 × 1031 × 21 × 51 × 54711
LCM(54693,54710) = 2992254030
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