What is the Least Common Multiple of 61087 and 61092?
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 61087 and 61092 is 3731927004.
LCM(61087,61092) = 3731927004
Least Common Multiple of 61087 and 61092 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61087 and 61092, than apply into the LCM equation.
GCF(61087,61092) = 1
LCM(61087,61092) = ( 61087 × 61092) / 1
LCM(61087,61092) = 3731927004 / 1
LCM(61087,61092) = 3731927004
Least Common Multiple (LCM) of 61087 and 61092 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61087 and 61092. First we will calculate the prime factors of 61087 and 61092.
Prime Factorization of 61087
Prime factors of 61087 are 13, 37, 127. Prime factorization of 61087 in exponential form is:
61087 = 131 × 371 × 1271
Prime Factorization of 61092
Prime factors of 61092 are 2, 3, 1697. Prime factorization of 61092 in exponential form is:
61092 = 22 × 32 × 16971
Now multiplying the highest exponent prime factors to calculate the LCM of 61087 and 61092.
LCM(61087,61092) = 131 × 371 × 1271 × 22 × 32 × 16971
LCM(61087,61092) = 3731927004
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