What is the Least Common Multiple of 22292 and 22307?
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 22292 and 22307 is 497267644.
LCM(22292,22307) = 497267644
Least Common Multiple of 22292 and 22307 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22292 and 22307, than apply into the LCM equation.
GCF(22292,22307) = 1
LCM(22292,22307) = ( 22292 × 22307) / 1
LCM(22292,22307) = 497267644 / 1
LCM(22292,22307) = 497267644
Least Common Multiple (LCM) of 22292 and 22307 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22292 and 22307. First we will calculate the prime factors of 22292 and 22307.
Prime Factorization of 22292
Prime factors of 22292 are 2, 5573. Prime factorization of 22292 in exponential form is:
22292 = 22 × 55731
Prime Factorization of 22307
Prime factors of 22307 are 22307. Prime factorization of 22307 in exponential form is:
22307 = 223071
Now multiplying the highest exponent prime factors to calculate the LCM of 22292 and 22307.
LCM(22292,22307) = 22 × 55731 × 223071
LCM(22292,22307) = 497267644
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