What is the Least Common Multiple of 54692 and 54708?
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 54692 and 54708 is 748022484.
LCM(54692,54708) = 748022484
Least Common Multiple of 54692 and 54708 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54692 and 54708, than apply into the LCM equation.
GCF(54692,54708) = 4
LCM(54692,54708) = ( 54692 × 54708) / 4
LCM(54692,54708) = 2992089936 / 4
LCM(54692,54708) = 748022484
Least Common Multiple (LCM) of 54692 and 54708 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54692 and 54708. First we will calculate the prime factors of 54692 and 54708.
Prime Factorization of 54692
Prime factors of 54692 are 2, 11, 113. Prime factorization of 54692 in exponential form is:
54692 = 22 × 112 × 1131
Prime Factorization of 54708
Prime factors of 54708 are 2, 3, 47, 97. Prime factorization of 54708 in exponential form is:
54708 = 22 × 31 × 471 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 54692 and 54708.
LCM(54692,54708) = 22 × 112 × 1131 × 31 × 471 × 971
LCM(54692,54708) = 748022484
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