What is the Least Common Multiple of 92053 and 92061?
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 92053 and 92061 is 8474491233.
LCM(92053,92061) = 8474491233
Least Common Multiple of 92053 and 92061 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92053 and 92061, than apply into the LCM equation.
GCF(92053,92061) = 1
LCM(92053,92061) = ( 92053 × 92061) / 1
LCM(92053,92061) = 8474491233 / 1
LCM(92053,92061) = 8474491233
Least Common Multiple (LCM) of 92053 and 92061 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92053 and 92061. First we will calculate the prime factors of 92053 and 92061.
Prime Factorization of 92053
Prime factors of 92053 are 13, 73, 97. Prime factorization of 92053 in exponential form is:
92053 = 131 × 731 × 971
Prime Factorization of 92061
Prime factors of 92061 are 3, 53, 193. Prime factorization of 92061 in exponential form is:
92061 = 32 × 531 × 1931
Now multiplying the highest exponent prime factors to calculate the LCM of 92053 and 92061.
LCM(92053,92061) = 131 × 731 × 971 × 32 × 531 × 1931
LCM(92053,92061) = 8474491233
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