What is the Least Common Multiple of 54746 and 54765?
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 54746 and 54765 is 2998164690.
LCM(54746,54765) = 2998164690
Least Common Multiple of 54746 and 54765 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54746 and 54765, than apply into the LCM equation.
GCF(54746,54765) = 1
LCM(54746,54765) = ( 54746 × 54765) / 1
LCM(54746,54765) = 2998164690 / 1
LCM(54746,54765) = 2998164690
Least Common Multiple (LCM) of 54746 and 54765 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54746 and 54765. First we will calculate the prime factors of 54746 and 54765.
Prime Factorization of 54746
Prime factors of 54746 are 2, 31, 883. Prime factorization of 54746 in exponential form is:
54746 = 21 × 311 × 8831
Prime Factorization of 54765
Prime factors of 54765 are 3, 5, 1217. Prime factorization of 54765 in exponential form is:
54765 = 32 × 51 × 12171
Now multiplying the highest exponent prime factors to calculate the LCM of 54746 and 54765.
LCM(54746,54765) = 21 × 311 × 8831 × 32 × 51 × 12171
LCM(54746,54765) = 2998164690
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